SOLUTION: Three times the measurement of a complement of an angle is 34 degrees less than the angle. How many degrees do each of the complementary angles measure? (Hint: Let “x” represent on

Algebra ->  Angles -> SOLUTION: Three times the measurement of a complement of an angle is 34 degrees less than the angle. How many degrees do each of the complementary angles measure? (Hint: Let “x” represent on      Log On


   

Question 1062135: Three times the measurement of a complement of an angle is 34 degrees less than the angle. How many degrees do each of the complementary angles measure? (Hint: Let “x” represent one angle and “90 – x” represent the other angle. Then, write the equation and solve.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let C be the complement, A be the angle,
3C=A-34
and
A%2BC=90
From the first equation,
A=3C%2B34
Substituting,
%283C%2B34%29%2BC=90
4C%2B34=90
4C=90-34
4C=56
C=14
So then,
A%2B14=90
A=76